no as long as it doesnt affect how they work or act otherwise it is basically thought policing if they try to force their white supremacist beliefs on their coworkers they should be fired if they call jamal a nigger and tell him to go back to africa they should be fired but they shouldnt be fired solely for believing something also how repugnant an ideology is is completely subjective while you and i believe white supremacists are repugnant some would believe that socialists are i dont think someone should be fired for being a socialist but if they try to beat the shit out of their boss and sieze the means of production in a glorious revolution they should face consequences